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Finding the Fourth Proportional to 587,189,768.95, 809,569,660.33 and 480,951,809.80

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Solution

The fourth proportional to 587,189,768.95, 809,569,660.33 and 480,951,809.80 is: 663,097,373.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,189,768.95 : 809,569,660.33 = 480,951,809.80 : x
  2. Step 2: Convert to fraction form
    587,189,768.95/809,569,660.33 = 480,951,809.80/x
  3. Step 3: Cross multiply
    587,189,768.95x = 809,569,660.33 × 480,951,809.80
  4. Step 4: Simplify right side
    587,189,768.95x = 389,363,993,288,432,192
  5. Step 5: Solve for x
    x = 389,363,993,288,432,192/587,189,768.95
  6. Step 6: Final answer
    x = 663,097,373.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.